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Finding the Fourth Proportional to 537.84, 742.34 and 361.06

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Solution

The fourth proportional to 537.84, 742.34 and 361.06 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 742.34 = 361.06 : x
  2. Step 2: Convert to fraction form
    537.84/742.34 = 361.06/x
  3. Step 3: Cross multiply
    537.84x = 742.34 × 361.06
  4. Step 4: Simplify right side
    537.84x = 268,029.28
  5. Step 5: Solve for x
    x = 268,029.28/537.84
  6. Step 6: Final answer
    x = 498.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.